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3 years ago

What is the retail price of the original price was $50 and the markdown was 22%

Mathematics

1 answer:

boyakko [2]3 years ago

7 0

Hey You!

22 / 100 * 50 = 11

50 - 11 = 39

The retail price is $39.

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find the present value that will grow to $7000 if the annual interest rate is 3.5% compounded quarterly for 9 uears

Gwar [14]

PV=FV/(1+i)^t

FV=7000, i=3.5%=0.035,t=9

put everything in the formula
PV=7000/(1+0.035)^9
PV=$5136.12

7 0

3 years ago

Find the P-value for the indicated hypothesis test with the given standardized test statistic, z. Decide whether to reject H0

Leviafan [203]

Answer: We do not reject the null hypothesis.

Step-by-step explanation:

When the p-value is greater than the significance level , then we do not reject the null hypothesis or if p-value is smaller than the significance level , then we reject the null hypothesis.

Given : Test statistic : $z = -2.28$

Significance level : $\alpha=0.02$

By using the standard normal distribution table ,

The p-value corresponds to the given test statistic ( two tailed ):-

$2P(Z>|z|)=2P(Z>2.28)=0.0226$

Since the p-value is greater than the significance level of 0.02.

Then , we do not reject the null hypothesis.

8 0

3 years ago

Find all roots: x^3 + 7x^2 + 12x = 0 Show all work and check your answer.

Aliun [14]

The three roots of x^3 + 7x^2 + 12x = 0 is 0,-3 and -4

Solution:

We have been given a cubic polynomial.

$x^{3}+7 x^{2}+12 x=0$

We need to find the three roots of the given polynomial.

Since it is a cubic polynomial, we can start by taking ‘x’ common from the equation.

This gives us:

$x^{3}+7 x^{2}+12 x=0$

$x\left(x^{2}+7 x+12\right)=0$ ----- eqn 1

So, from the above eq1 we can find the first root of the polynomial, which will be:

x = 0

Now, we need to find the remaining two roots which are taken from the remaining part of the equation which is:

$x^{2}+7 x+12=0$

we have to use the quadratic equation to solve this polynomial. The quadratic formula is:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Now, a = 1, b = 7 and c = 12

By substituting the values of a,b and c in the quadratic equation we get;

$\begin{array}{l}{x=\frac{-7 \pm \sqrt{7^{2}-4 \times 1 \times 12}}{2 \times 1}} \\\\{x=\frac{-7 \pm \sqrt{1}}{2}}\end{array}$

Therefore, the two roots are:

$\begin{array}{l}{x=\frac{-7+\sqrt{1}}{2}=\frac{-7+1}{2}=\frac{-6}{2}} \\\\ {x=-3}\end{array}$

And,

$\begin{array}{c}{x=\frac{-7-\sqrt{1}}{2}} \\\\ {x=-4}\end{array}$

Hence, the three roots of the given cubic polynomial is 0, -3 and -4

4 0

3 years ago

Julie pays for a meal at a restaurant with a $20 bill. Let c represent the cost of the food. The total cost includes a tip that

MAVERICK [17]

(c/5+c)-20 You divide the total cost by five to get the tip. You add that to the cost, and the tip and cost added together is the total cost. Subract that from a $20.00 bill and you have the answer! Hope this helps!

7 0

3 years ago

Someone help please this is for trigonometry

Softa [21]

Hi there!

Something really good to remember about trigonometry is SOHCAHTOA. I won’t dive into too much detail about it, but you should google it for future assignments.

Anyways,

tan50°=14/AB
ABtan50°=14
AB=14/tan50°
AB=11.75

cos50°=14/AC
ACcos50°=14
AC=14/cos50°
AC=21.78

For the measure of angle C you can use a theorem called the third angle theorem. In every single possible triangle, the sum of all three angles adds up to 180°. You can set up an equation like so...

angleC=180-(90+50)
angleC=180-140
angleC=40°

4 0

3 years ago